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2-1 notes - b(–1 5(0 3(2 3(3 –1 A fourth way to...

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Section 2-1 – Relations and functions Warm up Evaluate each expression for x = –2, –1, and 0. 1) ) 2 ( - - x 2) 1 2 2 + x Objectives: - Graph relations - Identify Domain and Range - Identify Functions Relation Example – Suppose you use a motion detector to track an egg as it drops from 10ft about the ground. The table shows the data stored in the motion detector Input (time in sec) Output (height in ft) 0 10 0.1 9.8 0.2 9.4 0.3 8.6 0.4 7.4 We can write a relation as a set of ordered pairs and then graph them. The x – coordinates (or inputs) are called the Domain . And the y – coordinates (or outputs) are called the Range Example 1: Graph the relation and determine its Domain and Range {(0, 4), (–2, 3), (–1, 3), (–2, 2), (1, –3)}
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Another way to show a relation is a mapping diagram. Function Example 2: Make a mapping diagram for each relation and then determine if the relation is a function a. {(–2, –1), (–2, 3), (0, 3), (5, 4)}
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Unformatted text preview: b. {(–1, 5), (0, 3), (2, 3), (3, –1)} A fourth way to represent a relation is with a two dimensional curve or line. Graphing a relation gives us an easy way to tell if it is a function. We will use the vertical-line test to determine if each of the following graphs represents a function. Example 3 In algebra, we frequently use function notation to describe function rules. Example 4: 5 ) ( + = x x f Input Function Output Ordered Pair 18 Add 5 23 (18, 23) A Subtract 1 A – 1 (A, A-1) X f f(x) ( x , f(x) ) Writing and using a function rule: The area of a square tile is a function of the length of a side of the square. Write a function rule for the area of a square. Evaluate the function for a square tile with side length 3.5 inches. Homework# ___ : Page 59 (5-7, 12-21, 23-31odd & 39)...
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